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Finding the Fourth Proportional to 237,565, 327,844.98 and 135,588.42

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Solution

The fourth proportional to 237,565, 327,844.98 and 135,588.42 is: 187,115.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,565 : 327,844.98 = 135,588.42 : x
  2. Step 2: Convert to fraction form
    237,565/327,844.98 = 135,588.42/x
  3. Step 3: Cross multiply
    237,565x = 327,844.98 × 135,588.42
  4. Step 4: Simplify right side
    237,565x = 44,451,982,843.13
  5. Step 5: Solve for x
    x = 44,451,982,843.13/237,565
  6. Step 6: Final answer
    x = 187,115.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.